What is (1.2*10^{-5})(1.2*10^{-3}) ?

The solution to (1.2*10^{-5})(1.2*10^{-3}) is 0.0000000144

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simplify (1.210^{-5})(1.210^{-3})

simplify

(1.2 \cdot 1 0^{- 5}) (1.2 \cdot 1 0^{- 3})

0.0000000144

Solution steps

(1.2 \cdot 1 0^{- 5}) (1.2 \cdot 1 0^{- 3})

Simplify

1.2 \cdot 1 0^{- 5} : 0.000012

= 0.000012 \cdot 1.2 \cdot 1 0^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= 0.000012 \cdot 1.2 \cdot \frac{1}{1 0 ^{3}}

1 0^{3} = 1000

= 0.000012 \cdot 1.2 \cdot \frac{1}{1000}

Multiply the numbers:

0.000012 \cdot 1.2 = 0.0000144

= 0.0000144 \cdot \frac{1}{1000}

= \frac{1}{1000} \cdot 0.0000144

\frac{1}{1000} \cdot 0.0000144 = \frac{0.0000144}{1000}

= \frac{0.0000144}{1000}

Divide the numbers:

\frac{0.0000144}{1000} = 0.0000000144

= 0.0000000144

e^{4} (e^{3})

2 (2 \cdot (- 1)^{k})

7.53 \cdot 1 0^{- 4}

1.2 \cdot 1 0^{- 10}

What is (1.2*10^{-5})(1.2*10^{-3}) ?
The solution to (1.2*10^{-5})(1.2*10^{-3}) is 0.0000000144